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Replacement theorem

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22: 341: 272: 222: 294: 313: 268: 260: 241: 213: 303: 289: 231: 32: 325: 282: 253: 321: 278: 249: 51: 335: 308: 79: 110: 71: 199:. Glauberman says in his paper that he does not know whether the condition that 317: 245: 41: 236: 21: 217: 83: 292:(1969), "A replacement theorem for p-groups and a conjecture", 15: 191:
is abelian is weakened to the condition that commutes with
93:
is a generalization of it introduced by Glauberman (
46: 36: 183:
The Glauberman replacement theorem is similar, except
136:. The Thompson replacement theorem says that if 218:"A characteristic subgroup of a p-stable group" 8: 187:is assumed to be odd and the condition that 78:is a theorem about the existence of certain 94: 307: 235: 7: 124:be the set of abelian subgroups of 14: 152:, then there is another element 20: 223:Canadian Journal of Mathematics 128:of maximal order. Suppose that 91:Glauberman replacement theorem 1: 342:Theorems about finite groups 309:10.1016/0021-8693(69)90068-4 132:is some abelian subgroup of 76:Thompson replacement theorem 358: 195:and with all elements of 148:but is not normalized by 168:is strictly larger than 35:, as no other articles 237:10.4153/cjm-1968-107-2 116:-group for some prime 97:, Theorem 4.1). 267:, New York: Chelsea, 203:is odd is necessary. 295:Journal of Algebra 214:Glauberman, George 176:, and normalizes 54:for suggestions. 44:to this page from 290:Thompson, John G. 274:978-0-8284-0301-6 140:is an element of 80:abelian subgroups 68: 67: 349: 328: 311: 285: 256: 239: 144:that normalizes 70:In mathematical 63: 60: 49: 47:related articles 24: 16: 357: 356: 352: 351: 350: 348: 347: 346: 332: 331: 288: 275: 259: 212: 209: 103: 64: 58: 55: 45: 42:introduce links 25: 12: 11: 5: 355: 353: 345: 344: 334: 333: 330: 329: 286: 273: 261:Gorenstein, D. 257: 208: 205: 102: 99: 66: 65: 52:Find link tool 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 354: 343: 340: 339: 337: 327: 323: 319: 315: 310: 305: 301: 297: 296: 291: 287: 284: 280: 276: 270: 266: 265:Finite Groups 262: 258: 255: 251: 247: 243: 238: 233: 230:: 1101–1135, 229: 225: 224: 219: 215: 211: 210: 206: 204: 202: 198: 194: 190: 186: 181: 179: 175: 171: 167: 163: 159: 155: 151: 147: 143: 139: 135: 131: 127: 123: 119: 115: 112: 108: 105:Suppose that 100: 98: 96: 92: 88: 86: 81: 77: 73: 62: 53: 48: 43: 39: 38: 34: 29:This article 27: 23: 18: 17: 299: 293: 264: 227: 221: 200: 196: 192: 188: 184: 182: 177: 173: 169: 165: 161: 157: 153: 149: 145: 141: 137: 133: 129: 125: 121: 117: 113: 106: 104: 90: 84: 75: 72:group theory 69: 56: 30: 302:: 149–151, 59:August 2017 207:References 160:such that 120:, and let 50:; try the 37:link to it 318:0021-8693 246:0008-414X 101:Statement 40:. Please 336:Category 263:(1980), 216:(1968), 326:0245683 283:0569209 254:0230807 324:  316:  281:  271:  252:  244:  111:finite 89:. The 87:-group 74:, the 33:orphan 31:is an 156:* of 109:is a 82:of a 314:ISSN 269:ISBN 242:ISSN 95:1968 304:doi 232:doi 338:: 322:MR 320:, 312:, 300:13 298:, 279:MR 277:, 250:MR 248:, 240:, 228:20 226:, 220:, 180:. 164:*∩ 306:: 234:: 201:p 197:A 193:B 189:B 185:p 178:A 174:B 172:∩ 170:A 166:B 162:A 158:A 154:A 150:B 146:B 142:A 138:A 134:P 130:B 126:P 122:A 118:p 114:p 107:P 85:p 61:) 57:(

Index


orphan
link to it
introduce links
related articles
Find link tool
group theory
abelian subgroups
p-group
1968
finite
Glauberman, George
"A characteristic subgroup of a p-stable group"
Canadian Journal of Mathematics
doi
10.4153/cjm-1968-107-2
ISSN
0008-414X
MR
0230807
Gorenstein, D.
ISBN
978-0-8284-0301-6
MR
0569209
Thompson, John G.
Journal of Algebra
doi
10.1016/0021-8693(69)90068-4
ISSN

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